Colleges and universities are crucial hubs for talent development, carrying out the vital task of supplying top-notch talent for all spheres of society. The growth of society and the economy is significantly influenced by the quality of education and teaching. A significant factor is the caliber of the instruction. Therefore, it is essential to innovate the educational management model in order to promote the holistic development of college students as well as the orderly development of educational and teaching activities in colleges and universities. The college and university music education model has made progress after years of development. In spite of its successes in reform, there are still a lot of issues that require close attention. The education system is constantly being updated and improved in order to meet modern development needs. It is essential to develop innovative strategies with strong operability from multiple perspectives in response to the actual issues that arise in order to carry out the reform work smoothly and steadily advance the innovation of the management model of music education in colleges and universities. This paper analyzes the teaching impact of the single-line education management model and the credit system education management model and predicts the students’ musical performance based on the gray theoretical model and the big data platform. The experiment revealed that as learning time increases, the teaching effects of the two learning modes increase, but it is evident that the credit system education management mode’s teaching effect is superior. The single-line education management model among them has an average score of 83.3 points, and the credit system education management model has an evaluation score of 86.1 points.
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